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Finding the Fourth Proportional to 2,651.33, 3,976.96 and 1,611.62

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Solution

The fourth proportional to 2,651.33, 3,976.96 and 1,611.62 is: 2,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.33 : 3,976.96 = 1,611.62 : x
  2. Step 2: Convert to fraction form
    2,651.33/3,976.96 = 1,611.62/x
  3. Step 3: Cross multiply
    2,651.33x = 3,976.96 × 1,611.62
  4. Step 4: Simplify right side
    2,651.33x = 6,409,324.36
  5. Step 5: Solve for x
    x = 6,409,324.36/2,651.33
  6. Step 6: Final answer
    x = 2,417.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.